Question

The velocities of five molecules are 2 m/s, 3 m/s, 4 m/s, 5 m/s and 6 m/s. Find the root mean square velocity of molecules.

Answer 1

Given: v₁ = 2 m/s, v₂ = 3 m/s, v₃ = 4 m/s, v₄ = 5m/s, v₅ = 6 m/s

`v_(rms)=sqrt(barv^2)=sqrt((v_1^2+v_2^2+...v_N^2)/N)`

`=sqrt((v_1^2+v_2^2+v_3^2+v_4^2+v_5^2)/5)`

`=sqrt((2^2+3^2+4^2+5^2+6^2)/5)`

`=sqrt((4+9+16+25+36)/5)`

`=sqrt(95/5)`

`=sqrt(18)`